Unit Circle Trigonometry Quiz

Questions and Answers

What is the value of tan 2π?

What is the value of tan π/6?

√3/3

What is the value of tan π/4?

What is the value of tan π/3?

√3 Signup and view all the answers

What is the value of tan π/2?

undefined Signup and view all the answers

What is the value of tan 2π/3?

-√3 Signup and view all the answers

What is the value of tan 3π/4?

-1 Signup and view all the answers

What is the value of tan 5π/6?

-√3/3 Signup and view all the answers

What is the value of tan π?

0 Signup and view all the answers

What is the value of tan 7π/6?

√3/3 Signup and view all the answers

What is the value of tan 5π/4?

1 Signup and view all the answers

What is the value of tan 4π/3?

√3 Signup and view all the answers

What is the value of tan 3π/2?

undefined Signup and view all the answers

What is the value of tan 5π/3?

-√3 Signup and view all the answers

What is the value of tan 7π/4?

-1 Signup and view all the answers

What is the value of tan 11π/6?

-√3/3 Signup and view all the answers

What is the value of sin(π/6)?

1/2 Signup and view all the answers

What is the value of sin(π/4)?

√2/2 Signup and view all the answers

What is the value of sin(π/3)?

√3/2 Signup and view all the answers

What is the value of sin(π/2)?

1 Signup and view all the answers

What is the value of sin(2π/3)?

√3/2 Signup and view all the answers

What is the value of sin(3π/4)?

√2/2 Signup and view all the answers

What is the value of sin(5π/6)?

1/2 Signup and view all the answers

What is the value of sin(π)?

0 Signup and view all the answers

What is the value of sin(7π/6)?

-1/2 Signup and view all the answers

What is the value of sin(5π/4)?

-√2/2 Signup and view all the answers

What is the value of sin(4π/3)?

-√3/2 Signup and view all the answers

What is the value of sin(3π/2)?

-1 Signup and view all the answers

What is the value of sin(5π/3)?

-√3/2 Signup and view all the answers

What is the value of sin(7π/4)?

-√2/2 Signup and view all the answers

What is the value of sin(11π/6)?

-1/2 Signup and view all the answers

What is the value of sin(2π)?

0 Signup and view all the answers

What is the value of cos(π/6)?

√3/2 Signup and view all the answers

What is the value of cos(π/4)?

√2/2 Signup and view all the answers

What is the value of cos(π/3)?

1/2 Signup and view all the answers

What is the value of cos(π/2)?

0 Signup and view all the answers

What is the value of cos(2π/3)?

-1/2 Signup and view all the answers

What is the value of cos(3π/4)?

-√2/2 Signup and view all the answers

What is the value of cos(5π/6)?

-√3/2 Signup and view all the answers

What is the value of cos(π)?

-1 Signup and view all the answers

What is the value of cos(7π/6)?

-√3/2 Signup and view all the answers

What is the value of cos(5π/4)?

-√2/2 Signup and view all the answers

What is the value of cos(4π/3)?

-1/2 Signup and view all the answers

What is the value of cos(3π/2)?

0 Signup and view all the answers

What is the value of cos(5π/3)?

1/2 Signup and view all the answers

What is the value of cos(7π/4)?

√2/2 Signup and view all the answers

What is the value of cos(11π/6)?

√3/2 Signup and view all the answers

What is the value of cos(2π)?

1 Signup and view all the answers

What is the value of sec(0)?

1 Signup and view all the answers

What is the value of sec(π/6)?

2√3/3 Signup and view all the answers

What is the value of sec(π/4)?

√2 Signup and view all the answers

What is the value of sec(π/3)?

2 Signup and view all the answers

What is the value of sec(π/2)?

undefined Signup and view all the answers

What is the value of sec(2π/3)?

-2 Signup and view all the answers

What is the value of sec(3π/4)?

-√2 Signup and view all the answers

What is the value of sec(5π/6)?

-2√3/3 Signup and view all the answers

What is the value of sec(π)?

-1 Signup and view all the answers

What is the value of sec(7π/6)?

-2√3/3 Signup and view all the answers

What is the value of sec(5π/4)?

-√2 Signup and view all the answers

What is the value of sec(4π/3)?

-2 Signup and view all the answers

What is the value of sec(3π/2)?

undefined Signup and view all the answers

What is the value of sec(5π/3)?

2 Signup and view all the answers

What is the value of sec(7π/4)?

√2 Signup and view all the answers

What is the value of sec(11π/6)?

2√3/3 Signup and view all the answers

What is the value of sec(2π)?

1 Signup and view all the answers

What is the value of csc(0)?

undefined Signup and view all the answers

What is the value of csc(π/6)?

2 Signup and view all the answers

What is the value of csc(π/4)?

√2 Signup and view all the answers

What is the value of csc(π/3)?

2√3/3 Signup and view all the answers

What is the value of csc(π/2)?

1 Signup and view all the answers

What is the value of csc(2π/3)?

2√3/3 Signup and view all the answers

What is the value of csc(3π/4)?

√2 Signup and view all the answers

What is the value of csc(5π/6)?

2 Signup and view all the answers

What is the value of csc(π)?

undefined Signup and view all the answers

What is the value of csc(7π/6)?

-2 Signup and view all the answers

What is the value of csc(5π/4)?

-√2 Signup and view all the answers

What is the value of csc(4π/3)?

-2√3/3 Signup and view all the answers

What is the value of csc(3π/2)?

-1 Signup and view all the answers

What is the value of csc(5π/3)?

-2√3/3 Signup and view all the answers

What is the value of csc(7π/4)?

-√2 Signup and view all the answers

What is the value of csc(11π/6)?

-2 Signup and view all the answers

What is the value of csc(2π)?

undefined Signup and view all the answers

Study Notes

Tangent Values

tan(2π) = 0
tan(π/6) = √3/3
tan(π/4) = 1
tan(π/3) = √3
tan(π/2) = undefined
tan(2π/3) = -√3
tan(3π/4) = -1
tan(5π/6) = -√3/3
tan(π) = 0
tan(7π/6) = √3/3
tan(5π/4) = 1
tan(4π/3) = √3
tan(3π/2) = undefined
tan(5π/3) = -√3
tan(7π/4) = -1
tan(11π/6) = -√3/3
tan(2π) = 0

Sine Values

sin(π/6) = 1/2
sin(π/4) = √2/2
sin(π/3) = √3/2
sin(π/2) = 1
sin(2π/3) = √3/2
sin(3π/4) = √2/2
sin(5π/6) = 1/2
sin(π) = 0
sin(7π/6) = −1/2
sin(5π/4) = −√2/2
sin(4π/3) = −√3/2
sin(3π/2) = −1
sin(5π/3) = −√3/2
sin(7π/4) = −√2/2
sin(11π/6) = −1/2
sin(2π) = 0

Cosine Values

cos(π/6) = √3/2
cos(π/4) = √2/2
cos(π/3) = 1/2
cos(π/2) = 0
cos(2π/3) = −1/2
cos(3π/4) = −√2/2
cos(5π/6) = −√3/2
cos(π) = −1
cos(7π/6) = −√3/2
cos(5π/4) = −√2/2
cos(4π/3) = −1/2
cos(3π/2) = 0
cos(5π/3) = 1/2
cos(7π/4) = √2/2
cos(11π/6) = √3/2
cos(2π) = 1

Secant Values

sec(0) = 1
sec(π/6) = 2√3/3
sec(π/4) = √2
sec(π/3) = 2
sec(π/2) = undefined
sec(2π/3) = -2
sec(3π/4) = -√2
sec(5π/6) = -2√3/3
sec(π) = -1
sec(7π/6) = -2√3/3
sec(5π/4) = -√2
sec(4π/3) = -2
sec(3π/2) = undefined
sec(5π/3) = 2
sec(7π/4) = √2
sec(11π/6) = 2√3/3
sec(2π) = 1

Cosecant Values

csc(0) = undefined
csc(π/6) = 2
csc(π/4) = √2
csc(π/3) = 2√3/3
csc(π/2) = 1
csc(2π/3) = 2√3/3
csc(3π/4) = √2
csc(5π/6) = 2
csc(π) = undefined
csc(7π/6) = -2
csc(5π/4) = -√2
csc(4π/3) = -2√3/3
csc(3π/2) = -1
csc(5π/3) = -2√3/3
csc(7π/4) = -√2
csc(11π/6) = -2
csc(2π) = undefined

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Test your knowledge of the unit circle and tangent values with this flashcard quiz. Each card presents a specific angle and challenges you to recall the corresponding tangent value. Perfect for students looking to reinforce their understanding of trigonometric functions.